Modified hybrid combination synchronization of chaotic fractional order systems
K. S. Ojo (1), S. T. Ogunjo (2), I. A. Fuwape (2, 3) ((1), Department of Physics, University of Lagos, Lagos, Nigeria (2) Department of, Physics, Federal University of Technology, Akure, Ondo State, Nigeria (3), Michael, Cecilia Ibru University, Ughelli North, Delta State

TL;DR
This paper introduces a modified hybrid synchronization method for fractional order chaotic systems, enabling simultaneous synchronization types using active control, with numerical validation confirming its effectiveness.
Contribution
It presents a novel modified hybrid synchronization approach for fractional chaotic systems, combining multiple synchronization types via active control.
Findings
Successful realization of complete synchronization, anti-synchronization, and project synchronization.
Analytical controllers derived and validated through numerical simulations.
Demonstrated effectiveness of the proposed synchronization method.
Abstract
The paper investigates a new hybrid synchronization called modified hybrid synchronization (MHS) via the active control technique. Using the active control technique, stable controllers which enable the realization of the coexistence of complete synchronization, anti-synchronization and project synchronization in four identical fractional order chaotic systems were derived. Numerical simulations were presented to confirm the effectiveness of the analytical technique.
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